Limit

Definition

The limit of a function is the value that the function approaches as the input approaches a certain value or infinity. It represents the behavior of the function near a specific point.

Related terms

Continuity:

A function is continuous if its graph has no breaks, holes, or jumps. It means that the limit of the function exists at every point within its domain.

Derivative:

The derivative of a function represents its rate of change at any given point. It is closely related to limits and helps analyze functions in calculus.

Infinitesimal: An infinitesimal refers to an extremely small quantity that approaches zero but is not exactly zero. In calculus, limits are used to handle infinitesimals and understand their behavior.